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Finding the Third Proportional to 36,176.63 and 78,207.75

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Solution

The third proportional to 36,176.63 and 78,207.75 is: 169,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,176.63 : 78,207.75 = 78,207.75 : x
  2. Step 2: Convert to fraction form
    36,176.63/78,207.75 = 78,207.75/x
  3. Step 3: Cross multiply
    36,176.63x = 78,207.75 × 78,207.75
  4. Step 4: Simplify right side
    36,176.63x = 6,116,452,160.06
  5. Step 5: Solve for x
    x = 6,116,452,160.06/36,176.63
  6. Step 6: Final answer
    x = 169,071.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.